1457920 has 72 divisors (see below), whose sum is σ = 3752784. Its totient is φ = 540672.

The previous prime is 1457891. The next prime is 1457921. The reversal of 1457920 is 297541.

It is a happy number.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1457921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21727 + ... + 21793.

It is an arithmetic number, because the mean of its divisors is an integer number (52122).

2^1457920 is an apocalyptic number.

1457920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1876392).

1457920 is an abundant number, since it is smaller than the sum of its proper divisors (2294864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1457920 is an equidigital number, since it uses as much as digits as its factorization.

1457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 1457920 is about 1207.4435804625. The cubic root of 1457920 is about 113.3908205085.

The spelling of 1457920 in words is "one million, four hundred fifty-seven thousand, nine hundred twenty".